In: Computer Science
How would you represent a for loop in First Order Logic terms?
Is it possible to implement a for loop using First Order Logic terms? What about Propositional Logic?
It is indeed possible to implement a for loop using First Order Logic terms. We represent it in the following way:
Let P(x) be the condition of the for loop, and Q(x) be the statement in the body of the for loop. Then we represent it as:
This means that for all x where P(x) is true (the condition of the for loop is satisfied), Q(x) must be true (the body of the for loop is executed).
However, it cannot be represented using propositional logic.